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奇异积分算子q-变差的定量最优加权估计
Quantitative and Sharp Weighted Estimates for q-Variations of Singular Operators
本文将定量最优Ap权理论推广到联系于ω-Calderón--Zygmund 算子的q-变差情形.这些结果利用了 Lerner 最新给出的稀疏控制方法来控制 q-变差，和 Hytönen 等关于q-变差的最优加权成果相比， 本文涉及的ω仅需满足 Dini 条件， 并且其截断是非光滑的.
In this work we extend the quantitative and sharp weighted bounds for the Ap theorem to the q-variation of ω-Calderón–Zygmund operators. These results make use of the new sparse dominating techniques given recently by Lerner to control the q-variation. Compared with the work of Hytönen etc., which also involved the sharp weighted estimates of q-variations,ω in our case only satisfies the Dini condition, and related cut-off is sharp.
最优加权估计 / 定量估计 / q-变差 / Calderó / n&ndash / Zygmund算子 / 稀疏算子 {{custom_keyword}} /
sharp weighted estimates / quantitative estimates / q-variation / Calderón–Zygmund operators / sparse operators {{custom_keyword}} /
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国家自然科学基金资助项目（11671308，11431011）
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